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arXiv · 1605.00236

On exceptional collections of line bundles and mirror symmetry for toric Del-Pezzo surfaces

Yochay Jerby
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Abstract

Let $X$ be a toric Del-Pezzo surface and let $Crit(W) \subset (\mathbb{C}^{\ast})^n$ be the solution scheme of the Landau-Ginzburg system of equations. Denote by $X^{\circ}$ the polar variety of $X$. Our aim in this work is to describe a map $L : Crit(W) \rightarrow Fuk_{trop}(X^{\circ})$ whose image under homological mirror symmetry corresponds to a full strongly exceptional collection of line bundles.

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Yochay Jerby. 2016-05-01. On exceptional collections of line bundles and mirror symmetry for toric Del-Pezzo surfaces. https://doi.org/10.1063/1.4977482

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